For all \(m > 0\) , we have \(3-18m+1377m^2 > 0\) . Therefore
\(\lambda _9^{\prime },\lambda _{10}^{\prime },\lambda _{11}^{\prime },\lambda _{12}^{\prime }\)  all have
nonzero real
parts. We conclude that the relative equilibrium is
unstable for all values of \(m\)  [1]}.
<FIGURE>